Funicular structural forms maximize the structural performance and minimize the use of materials by carrying the applied loads in the form of pure tensile/compressive axial forces. The internal structure of a bone is a classic example where material follows the principal stress directions and forms a delicate latticework of tiny, interlaced trabeculae crossing each other. This lecture introduces polyhedral graphic statics as an alternative method to design such load paths for architecture, structural engineering, and material science. This method is based on the reciprocal diagrams proposed by Maxwell and Rankine in 1864, and this lecture will show recent advances in the use and development of this method and its application for the design of multi-functional structural geometry on micro and macro scales. This presentation will especially show how to (i) minimize mass in large-scale structures and thus contribute to the reduction of embodied energy, (ii) design systems for disassembly, (iii) develop future manufacturing methods by combining polyhedral geometry with origami, and (iv) design concrete 3d printed structures with maximized mass to absorb carbon.